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Finding the Fourth Proportional to 2,576.34, 3,857.22 and 1,599.48

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Solution

The fourth proportional to 2,576.34, 3,857.22 and 1,599.48 is: 2,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.34 : 3,857.22 = 1,599.48 : x
  2. Step 2: Convert to fraction form
    2,576.34/3,857.22 = 1,599.48/x
  3. Step 3: Cross multiply
    2,576.34x = 3,857.22 × 1,599.48
  4. Step 4: Simplify right side
    2,576.34x = 6,169,546.25
  5. Step 5: Solve for x
    x = 6,169,546.25/2,576.34
  6. Step 6: Final answer
    x = 2,394.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.